Atkin-Lehner |
2- 3- 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
15738j |
Isogeny class |
Conductor |
15738 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-40792896 = -1 · 26 · 35 · 43 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 4 2 5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9175,-339031] |
[a1,a2,a3,a4,a6] |
j |
-85417113121801201/40792896 |
j-invariant |
L |
7.3171007769482 |
L(r)(E,1)/r! |
Ω |
0.24390335923161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125904j1 47214d1 |
Quadratic twists by: -4 -3 |